A height gap in $G{L}_d(\overline{\mathbb{Q}})$ and almost laws

Lvzhou Chen, Sebastian Hurtado, Homin Lee

E. Breuillard showed that finite subsets $F$ of matrices in $G{L}_d(\overline{\mathbb{Q}})$ generating non-virtually solvable groups have normalized height $\hat{h}(F)\ge {\epsilon }_d$,…